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Finding the Third Proportional to 32,693 and 70,569

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Solution

The third proportional to 32,693 and 70,569 is: 152,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,693 : 70,569 = 70,569 : x
  2. Step 2: Convert to fraction form
    32,693/70,569 = 70,569/x
  3. Step 3: Cross multiply
    32,693x = 70,569 × 70,569
  4. Step 4: Simplify right side
    32,693x = 4,979,983,761
  5. Step 5: Solve for x
    x = 4,979,983,761/32,693
  6. Step 6: Final answer
    x = 152,325.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.